6266880 has 168 divisors, whose sum is σ = 23001732. Its totient is φ = 1572864.

The previous prime is 6266873. The next prime is 6266927. The reversal of 6266880 is 886626.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 36864 = 2496^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368632 + ... + 368648.

Almost surely, 2^6266880 is an apocalyptic number.

6266880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500866).

6266880 is an abundant number, since it is smaller than the sum of its proper divisors (16734852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6266880 is a wasteful number, since it uses less digits than its factorization.

6266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6266880 is about 2503.3737235978. The cubic root of 6266880 is about 184.3672564018.

The spelling of 6266880 in words is "six million, two hundred sixty-six thousand, eight hundred eighty".